Warmup Write a congruence statement for the triangles. How do you know they are congruent?
4. 4/4. 5 Proving Triangles Congruent
Proving Triangles Congruent In order to prove that triangles are congruent, we DO NOT need to show all 6 congruence statements. Today we will look at 4 ways to prove triangles are congruent. B Y A X C Z
Side-Side (SSS): B Y A X C Z
Side-Angle-Side (SAS): B Y A X C Z
Angle-Side-Angle (ASA): B Y A X C Z
Angle-Side (AAS): B Y A X C Z
Example 1: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. E B A C G F
Example 2: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. Y A X Z B C
Example 3: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. A C E B
Practice 1: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. A C Y X B Z
Practice 2: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. A D C B E
Practice 3: Are the triangles congruent? If so, write the congruence statement, and state the property that will prove these triangles congruent. R C Q E D S